A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. d. Solution a) Let us first derive the expression for the tension. By Newton's First Law EF= the components of force that makes this so is EF -T Simplifying this results to T= g/ (0) Analyzing the figure above, we arrive at (4) = sqrt( 2. By substitution, we arrive at the following: T= +2 sqrt ( 2. )) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to 0.370 N

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 64P: When using a pencil eraser, you exert a vertical force of 6.00N at a distance of 2.00cm from the...
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Problem
A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire.
d
Solution
a)
Let us first derive the expression for the tension.
By Newton's First Law
EF =
the components of force that makes this so is
EF = T
= 0
Simplifying this results to
T =
g/
(4)
Analyzing the figure above, we arrive at
(4) = sqrt(
2.
By substitution, we arrive at the following:
T =
sgrt (
2+
))
If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to
T =
0.370 N
Transcribed Image Text:Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. d Solution a) Let us first derive the expression for the tension. By Newton's First Law EF = the components of force that makes this so is EF = T = 0 Simplifying this results to T = g/ (4) Analyzing the figure above, we arrive at (4) = sqrt( 2. By substitution, we arrive at the following: T = sgrt ( 2+ )) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T = 0.370 N
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